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Finding the Fourth Proportional to 314,095.23, 471,298.53 and 124,551.54

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Solution

The fourth proportional to 314,095.23, 471,298.53 and 124,551.54 is: 186,889.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,095.23 : 471,298.53 = 124,551.54 : x
  2. Step 2: Convert to fraction form
    314,095.23/471,298.53 = 124,551.54/x
  3. Step 3: Cross multiply
    314,095.23x = 471,298.53 × 124,551.54
  4. Step 4: Simplify right side
    314,095.23x = 58,700,957,711.24
  5. Step 5: Solve for x
    x = 58,700,957,711.24/314,095.23
  6. Step 6: Final answer
    x = 186,889.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.